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The article considers modeling of modern heat exchange systems which use thermal energy for its beneficial use. The proposed mathematical model makes it possible to investigate systems with utilization of thermal energy. The article presents the results of simulation of heat exchange processes using heat energy recovery for internal combustion engines.

The article considers approbation of the developed mathematical model of the process of thermal energy accumulation in a stationary switching regenerative heat exchanger using the Matlab computer system. The model was constructed and numerically investigated using a difference scheme. This method is necessary for development of algorithms for calculating the thermal characteristics of heat and mass transfer processes under conditions of regeneration and phase transitions, as well as for analyzing the criteria for optimal control of the operation of this apparatus under nominal and critical environmental conditions.

The indicators of Savrushinsky local municipal structures development in the Republic of Tatarstan (RT) are defined on the basis of creation, receiving and the analysis of the production function (PF). For the PF creation were collected the input statistical data for 2013 - 2017 on revenues of the studied local municipal district, fixed assets volumes and the staff number. After the logarithmation and receiving the simple multiple regression equation with the potentiation method was received the PF in a multiplicative look that allowed to estimate the degree of intensive and extensive development of the studied municipal structures and also to define its ratio. For the mathematically correct results obtaining beforehand was made the component analysis of future equation, and after its receiving was estimated the residuals autocorrelation existence. As a result was specified that the Savrushinsky local municipal office in the studied period was mostly developed due to the production efficiency increase, than from the production scale growth in which increase consists the positive experience of this municipal structures.

Annotation The development of heat supply schemes is particularly relevant today as according to the Federal Law of Russian Federation of July 27, 2010 No. 190-FZ “About heat supply” after December 31, 2011, the availability of a heat supply scheme is mandatory for settlements and urban districts in Russian Federation. Heat supply schemes are developed in accordance with the Order of the Government of the Russian Federation of February 22, 2012 No. 154 “On requirements for heat supply schemes, the procedure for their development and approval”.

This work makes it possible to link ground rules for thermal and electrical energy markets with generation plant operating. Here we consider various procedures for optimization of combined heat and power plant operating mode by means of underutilized equipment mothball. This work results in process flow diagrams for turbine hall and relative increment charts, which can be used for plant loading in the optimal way.